129542400 has 324 divisors, whose sum is σ = 501652788. Its totient is φ = 31703040.

The previous prime is 129542389. The next prime is 129542419. The reversal of 129542400 is 4245921.

It can be written as a sum of positive squares in 6 ways, for example, as 1218816 + 128323584 = 1104^2 + 11328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748714 + ... + 748886.

Almost surely, 2^129542400 is an apocalyptic number.

129542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250826394).

129542400 is an abundant number, since it is smaller than the sum of its proper divisors (372110388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129542400 is a wasteful number, since it uses less digits than its factorization.

129542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 129542400 is about 11381.6694733242. The cubic root of 129542400 is about 505.9846162789.

The spelling of 129542400 in words is "one hundred twenty-nine million, five hundred forty-two thousand, four hundred".